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Finding the Fourth Proportional to 4,654.80, 6,981.12 and 1,732.32

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Solution

The fourth proportional to 4,654.80, 6,981.12 and 1,732.32 is: 2,598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.80 : 6,981.12 = 1,732.32 : x
  2. Step 2: Convert to fraction form
    4,654.80/6,981.12 = 1,732.32/x
  3. Step 3: Cross multiply
    4,654.80x = 6,981.12 × 1,732.32
  4. Step 4: Simplify right side
    4,654.80x = 12,093,533.80
  5. Step 5: Solve for x
    x = 12,093,533.80/4,654.80
  6. Step 6: Final answer
    x = 2,598.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.